Topological Fixed Point Principles for Boundary Value Problems

Name: Topological Fixed Point Principles for Boundary Value Problems
Brand: Springer Netherlands
SKU: 9781402013805
Price: 1310 CZK
Availability: InStock

Autor: J. Andres, Lech Górniewicz

Jazyk:

Vazba: Pevná

Vydavatel: Springer Netherlands

Dostupnost: Skladem u dodavatele v malém množství

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Our book is devoted to the topological fixed point theory both for single-valued and multivalued map...

Informace o knize

Autor

J. Andres, Lech Górniewicz

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2003

Stránek

761

EAN

9781402013805

ISBN

1402013809

Enbook ID

01415281

Vydavatel

Springer Netherlands

Hmotnost

1518

Rozměry

160 x 240 x 41

Kompletní popis

Our book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topo logical fixed point theory in non-metric spaces. Although the theoretical material was tendentially selected with respect to ap plications, we wished to have a self-consistent text (see the scheme below). There fore, we supplied three appendices concerning almost-periodic and derivo-periodic single-valued {multivalued) functions and (multivalued) fractals. The last topic which is quite new can be also regarded as a contribution to the fixed point theory in hyperspaces. Nevertheless, the reader is assumed to be at least partly famil iar in some related sections with the notions like the Bochner integral, the Au mann multivalued integral, the Arzela-Ascoli lemma, the Gronwall inequality, the Brouwer degree, the Leray-Schauder degree, the topological (covering) dimension, the elemens of homological algebra, ... Otherwise, one can use the recommended literature. Hence, in Chapter I, the topological and analytical background is built. Then, in Chapter II (and partly already in Chapter I), topological principles necessary for applications are developed, namely: the fixed point index theory (resp. the topological degree theory), the Lefschetz and the Nielsen theories both in absolute and relative cases, periodic point theorems, topological essentiality, continuation-type theorems.

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Topological Fixed Point Principles for Boundary Value Problems

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